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Finding the Fourth Proportional to 318,834, 478,329.12 and 94,193.04

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Solution

The fourth proportional to 318,834, 478,329.12 and 94,193.04 is: 141,312.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,834 : 478,329.12 = 94,193.04 : x
  2. Step 2: Convert to fraction form
    318,834/478,329.12 = 94,193.04/x
  3. Step 3: Cross multiply
    318,834x = 478,329.12 × 94,193.04
  4. Step 4: Simplify right side
    318,834x = 45,055,273,933.32
  5. Step 5: Solve for x
    x = 45,055,273,933.32/318,834
  6. Step 6: Final answer
    x = 141,312.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.